Writing Equations In Slope Intercept Form Worksheet With Answers (Page 30 of 50) in pdf

Writing Equations In Slope Intercept Form Worksheet With Answers Page 30

It would take over 33 years for the waste to equal 0 tons, so then it would become impossible for the trend to

4-2 Writing Equations in Slope-Intercept Form

continue in 2032.

COMBINING FUNCTIONS The parents of a college student open an account for her with a deposit of $5000,

and they set up automatic deposits of $100 to the account every week.

a. Write a function d(t) to express the amount of money in the account t weeks after the initial deposit. d(t) = 5000 +

100t

b. The student plans on spending $600 the first week and $250 in each of the following weeks for room and board

and other expenses. Write a function w(t) to express the amount of money taken out of the account each week.

c. Find B(t) = d(t)

w(t). What does this new function represent?

d. Will the student run out of money? If so, when?

a. Let d = the amount of money in the account and t = the number of weeks after the initial deposit. The y-intercept

is the initial deposit of $5000. The slope is 100 as it represents the fixed rate of increase in the account. Write the

equation in slope-intercept form.

b . Let w = the amount of money taken out of the account and t = the number of weeks after the first amount is

removed. The y-intercept is the initial amount taken out of $600. The slope is the 250 as it represents the fixed rate

of increase in the amount removed from the account. Write in slope-

The new function represents the amount remaining in the account at time t

d. The student will run out of money when the amount remaining in the account equals 0.

So, the student will run out of money in about 29 weeks.

Jackson is ordering tickets for a concert online. There is a processing fee for each order,

and the tickets are $52 each. Jackson ordered 5 tickets and the cost was $275.

Determine the processing fee. Write a linear equation to represent the total cost C for t tickets.

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Make a table of values for at least three other numbers of tickets.

Graph this equation. Predict the cost of 8 tickets.

Writing Equations In Slope Intercept Form Worksheet With Answers Page 30